Search a number
-
+
42887854972080 = 2433519855488413
BaseRepresentation
bin10011100000001100110110…
…10111000101110010110000
312121212001001100112121021000
421300012123113011302300
521110133311333101310
6231114224130402000
712014355012224466
oct1160063327056260
9177761040477230
1042887854972080
1112735701058498
124987b53a30300
131ac13cc3a5681
14a83ad7380836
154e5928da94c0
hex27019b5c5cb0

42887854972080 has 80 divisors (see below), whose sum is σ = 147724833800160. Its totient is φ = 11436761325312.

The previous prime is 42887854971977. The next prime is 42887854972091. The reversal of 42887854972080 is 8027945878824.

42887854972080 is a `hidden beast` number, since 4 + 2 + 8 + 8 + 7 + 8 + 549 + 72 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9927742047 + ... + 9927746366.

It is an arithmetic number, because the mean of its divisors is an integer number (1846560422502).

Almost surely, 242887854972080 is an apocalyptic number.

42887854972080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42887854972080 is an abundant number, since it is smaller than the sum of its proper divisors (104836978828080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42887854972080 is a wasteful number, since it uses less digits than its factorization.

42887854972080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19855488435 (or 19855488423 counting only the distinct ones).

The product of its (nonzero) digits is 578027520, while the sum is 72.

The spelling of 42887854972080 in words is "forty-two trillion, eight hundred eighty-seven billion, eight hundred fifty-four million, nine hundred seventy-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 19855488413 39710976826 59566465239 79421953652 99277442065 119132930478 158843907304 178699395717 198554884130 238265860956 297832326195 317687814608 357398791434 397109768260 476531721912 536098187151 595664652390 714797582868 794219536520 893496978585 953063443824 1072196374302 1191329304780 1429595165736 1588439073040 1786993957170 2144392748604 2382658609560 2680490935755 2859190331472 3573987914340 4288785497208 4765317219120 5360981871510 7147975828680 8577570994416 10721963743020 14295951657360 21443927486040 42887854972080